Definition of asymptote in English:

asymptote

noun ˈasɪm(p)təʊtˈæsəm(p)ˌtoʊt

A straight line that continually approaches a given curve but does not meet it at any finite distance.
Example sentencesExamples
- It simply means that, like a lot of science, absolute and mechanical objectivity is an asymptote we must always approach without quite reaching.
- Like the asymptote, you are always approaching your goal, but you never achieve it.
- These models, which more closely resemble reality, involve one or two curves tending towards asymptotes.
- She was up in her attic one afternoon, trying to concentrate on where to place her asymptotes on her hyperbola, but her mind traveled elsewhere.
- In book two Apollonius investigates how hyperbolas are related to their asymptotes, and he also studies how to draw tangents to given conics.

Derivatives

asymptotic

adjective ˌasɪm(p)ˈtɒtɪkˌæsəm(p)ˈtɑdɪk

Gromov brought his geometric intuition to group theory and told us to look at the asymptotic properties of the Cayley graph.
Example sentencesExamples
- He also worked on asymptotic analysis, fractional integration and singular partial differential equations.
- He often returned to the topic of his first research paper on the error term in an asymptotic formula discovered by Gauss.
- He gave a wonderful series of lectures on special functions, asymptotic analysis, and approximation theory.
- Barnes next turned his attention to the theory of integral functions, where, in a series of papers, he investigated their asymptotic structure.
- For these data, the linear and asymptotic curves were nearly indistinguishable.
- Other topics in the large range of applied mathematics topics which he studied were existence theorems and asymptotic expansions.

asymptotically

adverbasɪm(p)ˈtɒtɪk(ə)li

The statement that this function gets asymptotically closer to the actual number of primes as the numbers get bigger is known as the Prime Number Theorem.
Example sentencesExamples
- These models are then compared using likelihood ratio tests, for which the test statistic asymptotically follows a distribution.
- Many statistical methods produce unbiased or asymptotically unbiased estimates of parameters.
- The polynomial structures are unable to handle correlation patterns that decrease asymptotically to zero within the range of the data, and the correlation obtained by both models goes negative.
- There seems to be some kind of law that requires presidential campaigns to become asymptotically more trivial as election day approaches.
- As resource input rates decreased, this proportion increased asymptotically.

Origin

Mid 17th century: from modern Latin asymptota (linea) '(line) not meeting', from Greek asumptōtos 'not falling together', from a- 'not' + sun 'together' + ptōtos 'apt to fall' (from piptein 'to fall').

Definition of asymptote in US English:

asymptote

nounˈasəm(p)ˌtōtˈæsəm(p)ˌtoʊt

A line that continually approaches a given curve but does not meet it at any finite distance.
Example sentencesExamples
- In book two Apollonius investigates how hyperbolas are related to their asymptotes, and he also studies how to draw tangents to given conics.
- She was up in her attic one afternoon, trying to concentrate on where to place her asymptotes on her hyperbola, but her mind traveled elsewhere.
- It simply means that, like a lot of science, absolute and mechanical objectivity is an asymptote we must always approach without quite reaching.
- These models, which more closely resemble reality, involve one or two curves tending towards asymptotes.
- Like the asymptote, you are always approaching your goal, but you never achieve it.

Origin

Mid 17th century: from modern Latin asymptota (linea) ‘(line) not meeting’, from Greek asumptōtos ‘not falling together’, from a- ‘not’ + sun ‘together’ + ptōtos ‘apt to fall’ (from piptein ‘to fall’).

单词	asymptote
释义	Definition of asymptote in English: asymptote noun ˈasɪm(p)təʊtˈæsəm(p)ˌtoʊt A straight line that continually approaches a given curve but does not meet it at any finite distance. Example sentencesExamples It simply means that, like a lot of science, absolute and mechanical objectivity is an asymptote we must always approach without quite reaching. Like the asymptote, you are always approaching your goal, but you never achieve it. These models, which more closely resemble reality, involve one or two curves tending towards asymptotes. She was up in her attic one afternoon, trying to concentrate on where to place her asymptotes on her hyperbola, but her mind traveled elsewhere. In book two Apollonius investigates how hyperbolas are related to their asymptotes, and he also studies how to draw tangents to given conics. Derivatives asymptotic adjective ˌasɪm(p)ˈtɒtɪkˌæsəm(p)ˈtɑdɪk Gromov brought his geometric intuition to group theory and told us to look at the asymptotic properties of the Cayley graph. Example sentencesExamples He also worked on asymptotic analysis, fractional integration and singular partial differential equations. He often returned to the topic of his first research paper on the error term in an asymptotic formula discovered by Gauss. He gave a wonderful series of lectures on special functions, asymptotic analysis, and approximation theory. Barnes next turned his attention to the theory of integral functions, where, in a series of papers, he investigated their asymptotic structure. For these data, the linear and asymptotic curves were nearly indistinguishable. Other topics in the large range of applied mathematics topics which he studied were existence theorems and asymptotic expansions. asymptotically adverbasɪm(p)ˈtɒtɪk(ə)li The statement that this function gets asymptotically closer to the actual number of primes as the numbers get bigger is known as the Prime Number Theorem. Example sentencesExamples These models are then compared using likelihood ratio tests, for which the test statistic asymptotically follows a distribution. Many statistical methods produce unbiased or asymptotically unbiased estimates of parameters. The polynomial structures are unable to handle correlation patterns that decrease asymptotically to zero within the range of the data, and the correlation obtained by both models goes negative. There seems to be some kind of law that requires presidential campaigns to become asymptotically more trivial as election day approaches. As resource input rates decreased, this proportion increased asymptotically. Origin Mid 17th century: from modern Latin asymptota (linea) '(line) not meeting', from Greek asumptōtos 'not falling together', from a- 'not' + sun 'together' + ptōtos 'apt to fall' (from piptein 'to fall'). Definition of asymptote in US English: asymptote nounˈasəm(p)ˌtōtˈæsəm(p)ˌtoʊt A line that continually approaches a given curve but does not meet it at any finite distance. Example sentencesExamples In book two Apollonius investigates how hyperbolas are related to their asymptotes, and he also studies how to draw tangents to given conics. She was up in her attic one afternoon, trying to concentrate on where to place her asymptotes on her hyperbola, but her mind traveled elsewhere. It simply means that, like a lot of science, absolute and mechanical objectivity is an asymptote we must always approach without quite reaching. These models, which more closely resemble reality, involve one or two curves tending towards asymptotes. Like the asymptote, you are always approaching your goal, but you never achieve it. Origin Mid 17th century: from modern Latin asymptota (linea) ‘(line) not meeting’, from Greek asumptōtos ‘not falling together’, from a- ‘not’ + sun ‘together’ + ptōtos ‘apt to fall’ (from piptein ‘to fall’).
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